Factor x^2-2x-35

Problem

x2−2*x−35

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−2 and c=−35

2. Find two numbers that multiply to the constant term c=−35 and add to the linear coefficient b=−2

3. Determine the factors by testing pairs of factors of −35 the pair 5 and −7 satisfies both conditions because 5⋅(−7)=−35 and 5 + (-7) = -2$.

4. Write the expression in factored form (x+p)*(x+q) using the numbers found in the previous step.

Final Answer

x2−2*x−35=(x−7)*(x+5)

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